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Securely and efficiently perform large matrix rank decomposition computation via cloud computing

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Abstract

Cloud computing enables resource-constrained clients to economically outsource their huge computation workloads to a powerful cloud server. This promising computing paradigm is able to realize client-cloud cooperative computations. It also brings in new security concerns and challenges, such as input/output privacy and efficiency. Since large matrix rank decomposition computation (RDC) is ubiquitous in the fields of science and engineering, a first step is taken forward to design a protocol that enables clients to securely and efficiently outsource RDC to a public cloud in this paper. It is analytically shown that the proposed protocol is correct and secure. Extensive theoretical analysis and experimental evaluation also show its high-efficiency and immediate practicability. It is hoped that the proposed protocol can shed light on designing other novel secure outsourcing protocols, and inspire powerful companies and working groups to finish the programming of the demanded all-inclusive scientific computations outsourcing software system. It is believed that such software system can be profitable by means of providing large-scale scientific computation services for so many potential clients. The proposed RDC outsourcing protocol is a step forward to realize such integrated software system.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grant No. 61170249 and No. 61472331, in part by the Talents of Science and Technology Promote Plan, Chongqing Science & Technology Commission, in part by the Graduate Student Research Innovation Project of Chongqing, and in part by the Innovation of Science and Technology Project of Shanxi Province Universities under Grant No. 2013148.

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Authors and Affiliations

  1. College of Electronics and Information Engineering, Southwest University, Chongqing, 400715, China

    Xinyu Lei & Xiaofeng Liao

  2. School of Computer Engineering, Nanyang Technological University, Singapore, 639798, Singapore

    Xiaoxi Ma

  3. Department of Computer Science, Xinzhou Normal University, Xinzhou, 034000, Shanxi, China

    Liping Feng

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  1. Xinyu Lei
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  2. Xiaofeng Liao
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Correspondence to Xinyu Lei.

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Lei, X., Liao, X., Ma, X. et al. Securely and efficiently perform large matrix rank decomposition computation via cloud computing. Cluster Comput 18, 989–997 (2015). https://doi.org/10.1007/s10586-015-0444-x

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